Publications related to G1 continuous approximate curves on NURBS surfaces

Fabrication of moire on curved surfaces

Moire is an appealing visual effect observable when two or more repetitive patterns are superposed. Fabrication of moire effects has already proven to be useful in a range of applications, from art to engineering. Here, we introduce a method for designing ...

OPTICAL SOC AMER2020

Hierarchically refined isogeometric analysis of trimmed shells

Luca Coradello, Alessandro Reali, Davide D'Angella

This work focuses on the study of several computational challenges arising when trimmed surfaces are directly employed for the isogeometric analysis of Kirchhoff-Love shells. To cope with these issues and to resolve mechanical and/or geometrical features o ...

SPRINGER2020

Variations on R-curves and traction-separation relations in DCB specimens loaded under end opening forces or pure moments

John Botsis, Georgios Pappas

In this work the differences in R-curve response and traction-separation relations due to a finite damage zone or large-scale bridging (LSB) in mode I fracture on double cantilever beams (DCB) were investigated under end opening forces (EOF) and pure momen ...

PERGAMON-ELSEVIER SCIENCE LTD2020

SUBDIVIDE AND CONQUER Active Contours and Surfaces for Biomedical Image Segmentation

Anaïs Laure Marie-Thérèse Badoual

Ongoing advances in imaging techniques create new demands regarding the analysis of images in medicine and biology. Image segmentation is a key step of many image analysis pipelines and its proper execution is a particularly challenging task. This thesis i ...

EPFL2019

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

Pablo Antolin Sanchez

3D objects, modeled using Computer Aided Geometric Design (CAGD) tools, are traditionally represented using a boundary representation (B-rep), and typically use spline functions to parameterize these boundary surfaces. However, recent development in physic ...

MATHICSE2019

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

Pablo Antolin Sanchez

3D objects, modeled using Computer Aided Geometric Design (CAGD) tools, are traditionally represented using a boundary representation (B-rep), and typically use spline functions to parameterize these boundary surfaces. However, recent development in physic ...

2019

Rapid Deployment of Curved Surfaces via Programmable Auxetics

Mark Pauly, Mina Konakovic Lukovic

Deployable structures are physical mechanisms that can easily transition between two or more geometric configurations; such structures enable industrial, scientific, and consumer applications at a wide variety of scales. This paper develops novel deployabl ...

ASSOC COMPUTING MACHINERY2018

Generating Calligraphic Trajectories with Model Predictive Control

Sylvain Calinon

We describe a methodology for the interactive definition of curves and motion paths using a stochastic formulation of optimal control. We demonstrate how the same optimization framework can be used in different ways to generate curves and traces that are g ...

2017

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

Michaël Unser, Julien René Pierre Fageot, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that interpolate the shape ...

2017

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

G1 continuous approximate curves on NURBS surfaces

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Fabrication of moire on curved surfaces

Hierarchically refined isogeometric analysis of trimmed shells

Variations on R-curves and traction-separation relations in DCB specimens loaded under end opening forces or pure moments

SUBDIVIDE AND CONQUER Active Contours and Surfaces for Biomedical Image Segmentation

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

Rapid Deployment of Curved Surfaces via Programmable Auxetics

Generating Calligraphic Trajectories with Model Predictive Control

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

An Inner-Product Calculus for Periodic Functions and Curves

Rapid Deployment of Curved Surfaces via Programmable Auxetics

Fabrication of moire on curved surfaces

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

SUBDIVIDE AND CONQUER Active Contours and Surfaces for Biomedical Image Segmentation

Variations on R-curves and traction-separation relations in DCB specimens loaded under end opening forces or pure moments

Generating Calligraphic Trajectories with Model Predictive Control

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

An Inner-Product Calculus for Periodic Functions and Curves

Hierarchically refined isogeometric analysis of trimmed shells

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products